Answer:
1/4
Step-by-step explanation:
625^x = 5
x = 1/4
In science class, Polly learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Polly wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year?
Answer:
They make 4 approximately tons of oxygen each year.
Step-by-step explanation:
( 250lbs × 32 ) ÷ 2000 = 4t
250 pounds because each tree makes about 250 pounds of oxygen a year.
× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.
÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.
Common factors 20 and 100
Answer:
common factors of 20 are 20,10,5,4,2,1
common factors of 100 are 100,50,25,20,10,5,2,1.The common factors of 20 and 100 are20,10,5,4,2,1, interesting the two sets above.
Which rectangle has side lengths of 5 units and 4 units?
A(3, 3), B(3, 6), C(8, 6), D(8, 3)
A(3, 3), B(3, 7), C(8, 7), D(8, 3)
A(3, 3), B(3, 7), C(7, 7), D(7, 3)
A(3, 3), B(3, 8), C(8, 8), D(8, 3)
The rectangle that will side lengths of 5units and 4 units will have coordinate of A(3, 3), B(3, 7), C(8, 7), D(8, 3) ( option B)
What is distance between two points?Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²).
For a rectangle, the opposite sides are equal this means AB = C D and CB = AD
To verify the answer, The distance between AB = √((3– 3)² + (7– 3)²).
line AB = √0+16= 4units
line AD = √((8– 3)² + (3– 3)²).
line AD = √25+0
line AD = 5 units
therefore the sides of the rectangle are 5units and 4 units.
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PLEASE HELP. What constant should be added to the binomial x2 + 5x so that it
becomes a perfect square trinomial?
Answer:
25/4
Step-by-step explanation:
Remember the following square formula?
(x+a)^2=x^2+2ax+a^2
This suggests that
2a=5
a=5/2
a^2=25/4
What is the sum of 2/3 + 1/5
Answer:
13/15
Step-by-step explanation:
1/5=3/15
2/3=10/15
10/15+3/15=13/15
50 POINTS!!! Please help
Which of the following values are solutions to the inequality –9 – 5x > -1?
I. 2
II. - 5
III. – 10
Answer:
20)12
Step-by-step explanation:
Answer:
x < -8/5
Step-by-step explanation:
-9 - 5x > -1
-5x > 8
x < -8/5
Stefanie biked a total of 4 miles making 2 trips to school. Which of the following ratios is equivalent to Stefanie's rate?
The ratio that is equivalent to Stefanie's rate is 1 : 2
Which of the following ratios is equivalent to Stefanie's rate?The given parameters are
Distance = 4 miles
Trips = 2
The ratio that is equivalent to Stefanie's rate is represented as
Rate = Trips/Distance
So, we have
Rate = 2 trips /4 miles
Evaluate
Rate = 1/2 trip per mile
Express as raton
Ratio = 1 : 2
Hence, the ratio that is equivalent to Stefanie's rate is 1 : 2
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What is the measure ofEGE?
What is the measure ofCGF?
E
50
F
options for EGF are 40, 55, 65, 80
options for CGF are 50, 90, 95, 115
Step-by-step explanation:
Angle EGF = 0.5(180° - 50°) = 65°.
Angle CGF = 180° - Angle EGF = 115°.
3.201 x 10^9 and 4.85 x 10^3
(3.201 x 10^9) * (4.85 x 10^3) =
15524850000000
in scientifc notation
1.552485 x 10^13
A fish store can place 5 fish in each fish bowl. If there are 263 fish to place, how many fish bowls are needed for all 263 fish?
Answer:
52.6
Step-by-step explanation:
263/5=52.6
Answer:
53
Step-by-step explanation:
You must take 263 and divide it by 5
263/5 = 52.6
So, 5 times 52 = 260
BUT 5 times 53 = 265. You would need 53 fish bowls
1 + 1 what is the best answer
Answer:
The best answer is 2 yaya that is a sum 1 + 1 is equal to 2
Is it SSS, SAS, ASA, SAA, or HL?
Answer:
it’s SAA
Step-by-step explanation:
ur wlcm, i am sure of my answer
brainliest please?
prove that "0 = ∅ is an ordinal"?
The set 0 = ∅ is an ordinal because it has an empty set which is a well-ordering that is transitive and it satisfies the definition of an ordinal in the theory of ordinals.
The set 0 = ∅ is an ordinal is a simple assertion. It states that the empty set is an ordinal in the theory of ordinals.
There are two axioms that are required to be satisfied by any relation R on a set A for R to be a well-ordering on A in set theory.
They are the reflexivity, which says that for all x ∈ A, xRx, and the transitivity, which says that for all x, y, z ∈ A, if xRy and yRz, then xRz.
The empty set is vacuously a well-ordering on itself since it satisfies both of these axioms: there are no elements to fail the reflexivity axiom, and there are no pairs of elements to fail the transitivity axiom.
Therefore, the empty set satisfies the definition of an ordinal, which is a well-ordering that is transitive. Hence, 0 = ∅ is an ordinal.
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Use Basic Probability Rules to Compute Probabilities s. A recent study found that 61% of college students purchase their textbooks online. a. If three college students are randomly selected, what is the probability that ALL three buy their textbooks online? Round to the nearest ten thousandth. b. If five college students are randomly selected, what is the probability that at least one purchases their textbooks online?
When three college students are randomly selected, the probability that ALL three buy their textbooks online is 0.227
The probability that at least one purchases their textbooks online is 1.
As per the question the probability of students purchase their textbooks online 61%.
\(=\frac{61}{100}\)
p = 0.61.
So, failure = 1 - 0.61 = 0.39
q = 0.39
When 3 students are selected(n = 3)
We know that, \($$p(x)={ }^n c_x p^x q^{n-x}$$\)
So, probability that all of them to purchase
\($$\begin{aligned}&(x=3) \\& p(3)={ }^3 c_3(0.61)^3(0.39)^{3-3} \\& p(3)=0.22698\end{aligned}$$\)
When 5 students are selected (n = 5)
And probability that at least one purchases books online
\(=P(x=1)+P(x=2)+P(x=3)$ $+P(x=4)+P(x=5)$\)
Now we know that probability of all equal to 1.
\(P(0)+P(1)+P(2)+P(3)+P(4)+P(5)=1\)
So, we can simply write
\($$\begin{aligned}P & =1-p(x=0)+p(x=1) \\& =1-\left[{ }^5 C_0(0.61)(0.35)^{50}+{ }^5 C_1(0.61)^1(0.39)^{5-1}\right] \\& =1-0.00902-0.07056 \\P& =0.92042\end{aligned}$$\)
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The fraction 5/6 is found between which pair of fractions on a number line?
A.1/3 and 4/9
B.7/12 and 17/18
C.11/12 and 31/36
D.1/4 and 5/8
Answer:
B- 7/12 and 17/18
Step-by-step explanation:
Get the fractions under a common denominator.
A: 1/3=6/18. 5/6=15/18. 4/9=8/18.B: 7/12=21/36. 5/6=25/36. 17/18=34.C: 11/12=33/36. 5/6=25/36. 31/36=31/36.D: 1/4=6/24. 5/6=20/24. 5/8=15/24.Out of A, B, C, and D– only B works.
Solve for x 3(x-8)=-29.7
Answer: x= -1.9
Step-by-step explanation:
An aquarium holds 11.35 cubic feet of water, and is 2.6 feet long and 1.1 feet wide. What is its depth? Round your answer to the nearest whole number.
The depth is
feet.
The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).
To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,
which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).
Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.
Substituting these values into the formula for volume,
we get:11.35 = 2.6 × 1.1 × h
Simplifying this expression:
11.35 = 2.86h
Dividing both sides by 2.6 × 1.1,
we get:h ≈ 3.64 feet (rounded to two decimal places)
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put the sides in smallest to greatest! will give brainliest
Answer:
bc, ab, ac
Step-by-step explanation:
PLEASE HELP AND SHOW WORK GEOMETRY THX
For the statement "If a polygon lacks right angles, then it is a parallelogram.", the counter example is -
Option A : a right triangle
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.
A counterexample for a conditional statement is an example that satisfies the hypothesis (the first part of the statement) but does not satisfy the conclusion (the second part of the statement).
In this case, the statement is "If a polygon lacks right angles, then it is a parallelogram."
A right triangle is a polygon that lacks right angles, but it is not a parallelogram.
Therefore, a right triangle is a counterexample for this statement.
A square, a regular hexagon, and a rectangle all have right angles, so they are not counterexamples for this statement.
Therefore, the triangle is the counterexample.
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A sample of 15 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the population standard deviation. Round your answer to three decimal places.
1.33,1.25,1.22,1.27,1.39,1.34,1.33,1.32,1.26,1.20,1.28,1.20,1.24,1.38,1.31
Answer:
The point estimate for the population standard deviation is of 0.061.
Step-by-step explanation:
The point estimate for the population standard deviation is the sample standard deviation.
Sample mean:
\(\overline{x} = \frac{1.33+1.25+1.22+1.27+1.39+1.34+1.33+1.32+1.26+1.20+1.28+1.20+1.24+1.38+1.31 }{15} = 1.288\)
Sample standard deviation:
Square root of the sum of the difference squared of all these values (1.33, 1.25, 1.22,...) and the mean of 1.288, divided by 15 - 1 = 14.
Using a calculator, it is of:
\(s = 0.061\)
The point estimate for the population standard deviation is of 0.061.
y varies inversely with x sqr(x) ; y=5 when x=25
The variation equation in the scenario is y = 25/√x
How to determine the variation equation?The variation statement is given as:
y varies inversely with x sqr(x)
Inverse variations are represented as:
y = k/√x
Where k represents the constant of variation/proportionality
When y = 5, x = 25
So, we have:
5 = k/√25
Evaluate the exponent
5 = k/5
Multiply by 5
k = 25
Substitute k = 25 in y = k/√x
y = 25/√x
Hence, the variation equation is y = 25/√x
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help me please!!!! Dan's car depreciates at a rate of 8% per year. By what percentage has Dan's car depreciated after 3 years? Give your answer to the nearest percent.
Answer:
22%
Step-by-step explanation:
Car's price is reduced by 8% or 0.92 times a year
after 3 years it will make:
0.92³= 0.778688≈ 0.78 timesor
0.78 = 1- 0.22price decrease = 22%Answer:
Hello!
Here is your answer:
22%
I hope I was able to help you. If not, please let me know!
Step-by-step explanation:
i need help with this question
Answer:
x = 10y = 38Step-by-step explanation:
In order to solve for x and y, we must assume the figure is a parallelogram. In a parallelogram, opposite angles are congruent.
100 = 11x -10
110 = 11x
10 = x
__
80 = 2y +4
40 = y +2 . . . . divide by 2
38 = y
Mary is thinking of a mystery number. She reduces it by 15% then subtracts 5. The result is 29. Determine the mystery number
Answer:
40
Step-by-step explanation:
Let x represent the mystery number.
Create an equation to represent the situation, then solve for x:
0.85x - 5 = 29
0.85x = 34
x = 40
So, the mystery number is 40.
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2⁄3 + y2⁄3 = 4, −3 3 , 1 (astroid)
The complete question is
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. \(x^\frac{2}{3} + y^\frac{2}{3} = 4\), \(( -3\sqrt{3} ,1)\)
Answer:
Equation of tangent is y = \(\frac{1}{\sqrt{3} }\)x + 4
Step-by-step explanation:
We are given the equation
\(x^\frac{2}{3} + y^\frac{2}{3} = 4\),
upon differentiating
d(\(x^\frac{2}{3} + y^\frac{2}{3} = 4\)) /dx = d(4)/dx
\(\frac{2}{3}x^-\frac{1}{3 } + \frac{2}{3}y^ -\frac{1}{3} dy/dx = 0\)
dy/dx = \(-x^\frac{1}{3} /y^-\frac{1}{3}\) = \(-y^\frac{1 }{3}/ x^\frac{1}{3}\)
upon substituting the values (x, y)= \(( -3\sqrt{3} ,1)\)
dy/dx = \(\frac{1}{\sqrt{3} }\)
equation of the tangent
y - 1 = \(\frac{1}{\sqrt{3} }\) ( x- (-\(3\sqrt{3}\)))
y = \(\frac{1}{\sqrt{3} }\)x + 4
A trapezoid has bases that measure 10 cm and 6 cm. The height of the figure is 15 cm. What is the area of th
trapezoid?
60 cm?
O 90 cm?
120 cm?
150 cm?
Answer:
120cm
Step-by-step explanation:
find the value of x and the measure of angle axc
Answer:
x = 4
m<AXC = 150
Step-by-step explanation:
m<1 + m<2 = m<AXC
102 + 10x + 8 = 6(6x + 1)
10x + 110 = 36x + 6
26x = 104
x = 4
m<AXC = 6(6x + 1)
m<AXC = 6(24 + 1)
m<AXC = 150
a sporting complex charges $6 to use its facility. the expression 0.25b+6 models the total cost to hit b baseballs in the bating cage. What is the cost per baseball?
Answer:
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Help me with this please
Answer:
Your answer will be B. A town's population grows at a rate of 7.2% every year.
Step-by-step explanation:
Pls give me brainliest thx